Three squares are placed as shown. Given that the green areas are equal, what is the side length of the orange square?
New Year 2021
Three squares are placed as shown. Given that the green areas are equal, what is the side length of the orange square?
Two semicircles inside a rectangle. What is the proportion of the red to the green area?
Three congruent rectangles consisting of two squares each are placed as shown. What is the blue area?
Four congruent right triangles form a rectangle. What fraction is red?
Two semicircles and four tangents. What’s the area of the orange rectangle?
Two overlapping rectangles. What is the proportion of their areas? All triangles in the diagram are right.
An equilateral triangle contains three congruent rectangles. Two distances on its base are given. What fraction is white?
A square and two rectangles, connected by two circular arcs, form a square. What is the proportion of the orange to the green area?
Two circles are embedded in a frame of size 9 x 8. What is their total area?
Four congruent rectangles are placed in a hat-shaped configuration. What’s the angle between the lines connecting the opposite corners?
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